Question

ling must spend no more than $40.00 on decorations for a party. she has spent $10.00 on streamers and wants to buy bags of balloons as well. each bag of balloons costs $2.50. the inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers. 10 + 2.5x ≤ 40 which best describes the number of bags of balloons she can buy? she can buy from 0 to 12 bags, but no more. she can buy from 0 to 20 bags, but no more. she must buy 12 or more bags. she must buy 20 or more bags.

Explanation:

Step1: Isolate the term with x

Subtract 10 from both sides of the inequality $10 + 2.5x\leq40$.
$10+2.5x - 10\leq40 - 10$
$2.5x\leq30$

Step2: Solve for x

Divide both sides of the inequality $2.5x\leq30$ by 2.5.
$x\leq\frac{30}{2.5}$
$x\leq12$
Since the number of bags $x$ cannot be negative, $0\leq x\leq12$.

Answer:

She can buy from 0 to 12 bags, but no more.